### How to calculate the theoretical capacity of battery electrode materials

How to calculate the theoretical capacity of battery electrode materials

The theoretical capacity of a battery electrode material can be estimated using the relation:

$\frac{xF}{M}$

where F is the Faraday constant, x is the number of faradays involved in the reaction, and M is the molar mass of the material.

Hence, according to Eq.1, the theoretical charge or discharge capacity of LiCoO2 can be calculated to be 274 mAh/g, using 1.0, 26.80 Ah/mol, and 97.87 g/mol for x, F and M, respectively.

Likewise, according to Eq.2, the theoretical charge or discharge capacity of graphite (C) can be calculated to be 372 mAh/g, using 1/6, 26.80 Ah/mol, and 12 g/mol for x, F and M, respectively.

Examples are shown in the table below.

 Anode Cathode x/ mol Thoeretical Capacity/ mAh g-1 Attainable Capacity/ mAh g-1 Graphite ♦ 1/6 372 350 Li4Ti5O12 ♦ 3 175 170 Si ♦ 3.75 3579 same LiCoO2 ♦ 1 274 145 LiNi1/3Co1/3Mn1/3O2 ♦ 1 278 150 LiFePO4 ♦ 1 170 160

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